In Langmuir’s model of adsorption of a gas on a solid surface:a)...
Langmuir's model of adsorption:
Langmuir's model of adsorption is a theoretical model that describes the adsorption of gas molecules onto a solid surface. It was proposed by Irving Langmuir in 1918 and is based on the assumption that adsorption occurs at specific sites on the solid surface.
Explanation of the options:
a) The rate of desorption of adsorbed molecules from the surface does not depend on the surface covered.
This statement is incorrect. In Langmuir's model, the rate of desorption of adsorbed molecules from the surface does depend on the surface coverage. As the surface becomes more covered with adsorbed molecules, the desorption rate decreases because there are fewer available surface sites for desorption to occur.
b) The adsorption at a single site on the surface may involve multiple molecules at the same time.
This statement is correct. According to Langmuir's model, adsorption at a single site on the surface can involve multiple molecules simultaneously. This is known as multilayer adsorption, where multiple layers of adsorbed molecules form on the surface.
c) The mass of gas striking a given area of surface is proportional to the pressure of the gas.
This statement is correct. In Langmuir's model, the mass of gas striking a given area of the surface is directly proportional to the pressure of the gas. This is known as the Langmuir adsorption isotherm, which states that the amount of gas adsorbed is proportional to the pressure of the gas.
d) The mass of gas striking a given area of surface is independent of the pressure of the gas.
This statement is incorrect. According to Langmuir's model, the mass of gas striking a given area of the surface is not independent of the pressure of the gas. As the pressure of the gas increases, more gas molecules are available to strike the surface, leading to an increase in the amount of gas adsorbed.
Conclusion:
Based on Langmuir's model of adsorption, the correct statement is c) The mass of gas striking a given area of surface is proportional to the pressure of the gas. This is a fundamental assumption of Langmuir's model and is in agreement with experimental observations.